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At that stage we can merge these, and then take this down, do the division merge and bring them back up.
在那里做一次分解，做到这步时，我们可以把这些进行合并，然后把这个拿下来,做分解合并过程后再把它们拿回去。
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I'm dividing it in half and half, and half and half, but each time I do that there's this merging process.
我将其划分为一半又一半，每次我还要做的就是合并的过程。
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You might conclude that these features are evidence of multiple authorship a good deal of revision which points itself to a kind of composite structure different layers maybe, different sources.
所以这些特点会让你认为有很多作者,很多次的修改,会让结构看起来世合并而成的,不同的层次，不同的素材。
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What they usually do is they take the underperforming fund and they merge it with one that has a better track record.
更常见的做法是把运作不佳的基金,合并到另一只表现良好的基金中去
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So we know we always want to have our systems in as low an energy as possible, so it makes sense that a bond would happen any time we got a lower energy when we combine two atoms, versus when we keep them separate.
我们知道我们总是希望使我们的系统,处于能量尽可能低的状态，因此就应该有化学键产生,一旦我们合并两个原子之后体系的能量变得更低，相较于分开时。
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The only big change came in 1960 when they consolidated the ones around Paris, because of the growth of the Paris region, as you can see there.
仅在1960年由于巴黎区的发展,发生了一次改变,他们将巴黎周边的省进行合并,在这里可以看到
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I'm gonna tell you go sort the left, go sort the right, and then I'll merge the two together.
那先对左半部分排序，再对右半部分排序，然后将两者合并起来。
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Now, compare the first element in each of these lists. Two is less than three, so two ought to be the next element of the list.
现在，比较每个列表的第一个元素,2要比3小，所以2应该是合并后列表的，下一个元素，然后你们就知道了。
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Where those pieces, I would do the same thing with, I would divide them up into smaller chunks, and sort those. Is that going to give me a more efficient algorithm?
合并起来，而那些小列表,我又会把他们拆成更小的列表,再排序，这会给我,一个更高效的算法么？
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When these two merges are done, we're basically at a stage in that branch where we can now merge those two together, which gives us that, and it goes through the rest of it.
拿到从那边得到的第二个子列表，这是一个基本情况,合并它，当这两个合并完成后，我们基本到了该分支阶段，这里我们可以把两个合并在一起。
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Well, it looks like it took 1 in this case or it involves-- we can put it another way, merging those two lists involved looking at two numbers, 1, 2, and that's it.
在这种情况下看起来只用了1次-,我们可以从另一个角度看，合并这两个列表涉及到了,2个数字，1，2，就是这样。
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Well, notice again, on each level of the tree, when I actually do the merging, so this remember, is when I wrote down just the numbers when I bottomed out with the list of size 1.
请注意，在这棵树中的每一层，我真正做合并时，就将每个大小为1的列表中的,数字写下来。
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Run merge sort on those. By induction, if it does the right thing, I'm going to get back two lists, and I'm going to then merge Them together. Notice what I'm going to do.
在这些上面再运行归并排序，根据归纳，如果这样是正确的,我将重新得到两个列表,然后我会把它们合并在一起。
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And the third thing I need to decide is how do I combine? You know, point out to you in the binary search case, combination was trivial. The answer to the final search was just the answer all the way up.
第三个问题是我需要决定如何进行合并？,就你们所知的，在二分查找中所打印出来的,合并的过程是非常简单的,最后查询的结果,就是一路上来所以的结果。
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Merge. Now this is pretty easy, this one, but let's use the same heuristics.
合并，现在这个非常简单，但我们用同样的试探法。
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They want to merge the Securities and Exchange Commission and the Commodity Futures Trading Commission.
他们还想要合并证券交易委员会,和期货商品交易委员会。
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So in other words, every time I merge the point that I kept emphasizing verbally there and that I'm only touching each number once, means that we have to account for the amount of time it takes to merge N which is going to be just N. Now, this is again one of these cyclical answers.
换言之，之前在做合并时,我不停地强调,对每个数字我只碰了一次，这就是说,我们要记录合并所花的时间量,也就是这里的,这又是一种循环性的答案。
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I merge. And the merge is, put them in order.
合并的过程是将它们按顺序摆放。
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And it's called divide and conquer for the obvious reason. I'm going to divide it up into sub-problems with the hope that those sub-problems get easier. It's going to be easier to conquer if you like, and then I'm going to merge them back. Now, in the binary search case, in some sense, this is a little bit trivial.
因此被称为分治的原因就这么简单,将一个问题分解成一些子问题,并希望这些子问题解决起来比较方便,正如你希望的，求解的过程也会变得简单,下面就是把结果合并起来,现在，在二分搜索的例子里,从某些方面来说，这有点微不足道。
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Merge up here. There's a little more code there.
在这里进行合并，这里的代码有点多。
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I said it poorly. What's the point?
那么我就可以将两个列表进行合并了？
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For example, when they started trading stock index futures, both these agencies thought it was in their turf because it involved both stock indexes and futures Anyway, Paulson is proposing merging these.
例如，当人们开始交易股票指数期货的时候，这两个机构都认为这个交易是在他们的管辖范围内的,因为这个交易既包括了股票指数也包括了期货,总之，鲍尔森是准备合并他俩。
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Then when we look at the statistics, all we see are a lot of assets in the fund that performed well and the underperforming fund that was merged out of existence isn't there anymore.
于是当我们去查阅统计资料时,只能看到资产规模巨大且运作良好的基金,那些运作不佳的基金,随着合并与它的纪录一起消失了
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The fact that the picture is a little prettier on the far right is testament to the fact that I'm sorting the left half, the left half, the left half, and that's why you get these little triangles, triangles, triangles, that then get merged together.
可以看到最右边的画面,变化很快,先对左半部分排序，然后再左半部分，这就是为什么会有这些小三角形，最后再将它们合并起来。
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So let me give you an example. Suppose I want to merge two lists, and they're sorted.
我想合并两个列表,并且这两个列表已经排好序了。
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We said each of the merge operations O was of order n. But n is different. Right?
注意这里发生了什么,我们说过每一次合并操作的复杂度都是？
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So at the moment left hand is at the start of this list of size 1, my right hand is at the start of this list of size 1, and now I need to merge these two lists.
现在左手手指指向这个大小为1的列表的开始,右手手指指向这个大小为1的列表的开始,现在我需要合并这两个列表。
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In which I said, you know, I didn't like the fact that things like plus are overloaded, because you can use plus to add strings, you can use plus to add numbers, you can use plus to add floats.
那个玩笑是这样的，你们懂得，我并不喜欢,加法被重载这样的事情，但是你可以用加法，来对字符串进行合并，你可以用加法来加数字。
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I just kept sub-dividing down until I got really easy problems, and then I combine them back.
我不断的进行子分解,直到得到简单的问题，然后我再把它们合并回去。
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